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Course Contents

Video: How to Find the Inverse of a Matrix

Course Contents at a Glance

Video: Matrix Math

Module 1: Functions and Graphs

Reading: Solving a System of Linear Equations Using the Inverse of a Matrix

Why It Matters

Video: Inverse Matrix

Reading: Functions and Function Notation (part I)

Worked Examples: Business Applications of Matrices

Reading: Functions and Function Notation (part II)

Putting It Together

Reading: Domain and Range

Module 5: Inequalities and Linear Programming

Video: Domain Restrictions and Piecewise Functions

Why It Matters

Activity: Graphing With Technology

Reading: Meeting Demands with Linear Programming

Reading: Average Rate of Change

Video: Linear Programming

Putting It Together

Reading: Solving Standard Maximization Problems using the Simplex Method

Module 2: Linear Functions in Business

VIdeo: Simplex Method

Why It Matters

Reading: Standard Minimization with the Dual

Reading: Linear Functions

Video: Determine a Dual Problem Given a Standard Minimization Problem

Reading: Graphs of Linear Functions (part I)

Putting It Together

Interactive Simulation: Graphing Lines

Module 6: Exponential Growth and Decay

Reading: Fitting Linear Models to Data

Why It Matters

Video: Linear Regression in Excel

Reading: Exponential Functions (part I)

Interactive Simulation: Concepts of Least Squares Regression

Video: Exponential Functions

Reading: Demand, Supply, and Equilibrium in Markets for Goods and Services

Reading: Exponential Functions (part II)

Video: Linear Equation Application (Write a Cost Equation)

Example: Growth or Decay

Video: Function Inputs and Outputs of a Cost Function (Linear)

Reading: Graphs of Exponential Functions

Video: Revenue Cost Profit Functions Using Inequalities

Reading: Logarithmic Functions (part I)

Video: Determine a Linear Demand Function

Reading: Logarithmic Properties

Reading: Graphs of Linear Functions (part II)

Examples: Solving Logarithmic Equations

Reading: Equilibrium—Where Demand and Supply Intersect

Reading: Using the Definition of a Logarithm to Solve Logarithmic Equations

Video: How to Calculate Equilibrium Price and Quantity

Putting It Together

Reading: Revenue, Cost, and Profit Functions

Module 7: Investments and Loans

Reading: Break-Even Analysis

Why It Matters

Video: Break-Even Analysis

Reading: Compound Interest and Exponential Growth

Video: Linear Function Application

Reading: Finance (part I)

Reading: Solving One-Step Inequalities

Video: The Simple Interest Formula

Reading: Multi-Step Inequalities

Video: Compound Interest

Putting It Together

Reading: Finance (part II)

Module 3: Functions in Business

Reading: Annuities

Why It Matters

Reading: Loans, Mortgages, and Sinking Funds

Reading: Factoring

Video: Determining the Value of an Annuity

Reading: Quadratic Formula

Video: The Installment Loan Formula

Reading: Graphs of Quadratics

Video: How To Create An Amortization Table In Microsoft Excel

Reading: Short Run Behavior: Vertex

Reading: Which Equation to Use?

Reading: Finding the Vertex of a Quadratic

Putting It Together

Video: Find a Quadratic Function Given the Intercepts of the Graph

Module 8: Probability Theory

Reading: Mathematical Modeling Exercise (incomplete content)

Why It Matters

Video: Finding a Revenue Function from a Linear Demand Function

Reading: Probability

Worked Examples: Quadratic Function Applications

Video: Introduction to Probability

Video: Demand and Revenue

Video: Probability of Independent Events

Video: Quadratic Model Application

Video: Determining the Probability of a Union of Events

Video: Quadratic Demand and Supply Analysis

Video: Probability of Events that are Mutually Exclusive

Reading: Graphs of Polynomial Functions (part I)

Reading: Conditional Probability

Reading: Graphs of Polynomial Functions (part II)

Video: Conditional Probability

Video: Find the Intercepts of a Polynomial Function

Reading: Bayes' Theorem

Video: Turning Points and X Intercepts of a Polynomial Function

Video: Probability: Bayes' Theorem

Reading: Rational Functions

Reading: Counting

Putting It Together

Video: The Counting Principle

Module 4: Matrices

Video: Permutations

Why It Matters

Video: Combinations

Reading: Constructing and Solving Linear Equations

Examples: Probability using Permutations and Combinations

Reading: Matrices and Matrix Operations

Video: Determining Probability

Examples: Using Technology to Perform Matrix Operations

Reading: Expected Value

Video: Matrix Math in Excel

Video: Expected Value

Reading: Solving Systems with Gaussian Elimination

Putting It Together

Reading: Solving Systems with Inverses